34514115240000 has 560 divisors, whose sum is σ = 124575698016000. Its totient is φ = 8360997120000.

The previous prime is 34514115239951. The next prime is 34514115240079. The reversal of 34514115240000 is 4251141543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 34514115240000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1978671279 + ... + 1978688721.

It is an arithmetic number, because the mean of its divisors is an integer number (222456603600).

Almost surely, 2^{34514115240000} is an apocalyptic number.

34514115240000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34514115240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62287849008000).

34514115240000 is an abundant number, since it is smaller than the sum of its proper divisors (90061582776000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34514115240000 is a wasteful number, since it uses less digits than its factorization.

34514115240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18988 (or 18963 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 34514115240000 its reverse (4251141543), we get a palindrome (34518366381543).

The spelling of 34514115240000 in words is "thirty-four trillion, five hundred fourteen billion, one hundred fifteen million, two hundred forty thousand".